{"id":"https://openalex.org/W2178586455","doi":"https://doi.org/10.1142/s0218196715500381","title":"Automorphisms of the endomorphism semigroup of a free algebra","display_name":"Automorphisms of the endomorphism semigroup of a free algebra","publication_year":2015,"publication_date":"2015-11-05","ids":{"openalex":"https://openalex.org/W2178586455","doi":"https://doi.org/10.1142/s0218196715500381","mag":"2178586455"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196715500381","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196715500381","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035199611","display_name":"Xiaosong Sun","orcid":"https://orcid.org/0000-0003-4626-2930"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaosong Sun","raw_affiliation_strings":["School of Mathematics, Jilin University, Changchun 130012, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun 130012, P. R. China","institution_ids":["https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035199611"],"corresponding_institution_ids":["https://openalex.org/I194450716"],"apc_list":null,"apc_paid":null,"fwci":1.603,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.82162724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"25","issue":"08","first_page":"1223","last_page":"1238"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/endomorphism","display_name":"Endomorphism","score":0.9679863452911377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9236809611320496},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.8639177083969116},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7668136358261108},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5615705251693726},{"id":"https://openalex.org/keywords/automorphisms-of-the-symmetric-and-alternating-groups","display_name":"Automorphisms of the symmetric and alternating groups","score":0.49860715866088867},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4833664298057556},{"id":"https://openalex.org/keywords/bicyclic-semigroup","display_name":"Bicyclic semigroup","score":0.47286033630371094},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.43259868025779724},{"id":"https://openalex.org/keywords/free-algebra","display_name":"Free algebra","score":0.4250975251197815},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.31609046459198},{"id":"https://openalex.org/keywords/cellular-algebra","display_name":"Cellular algebra","score":0.2778153419494629}],"concepts":[{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.9679863452911377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9236809611320496},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.8639177083969116},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7668136358261108},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5615705251693726},{"id":"https://openalex.org/C162619202","wikidata":"https://www.wikidata.org/wiki/Q4826703","display_name":"Automorphisms of the symmetric and alternating groups","level":3,"score":0.49860715866088867},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4833664298057556},{"id":"https://openalex.org/C40417594","wikidata":"https://www.wikidata.org/wiki/Q3022111","display_name":"Bicyclic semigroup","level":3,"score":0.47286033630371094},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.43259868025779724},{"id":"https://openalex.org/C27859207","wikidata":"https://www.wikidata.org/wiki/Q5500180","display_name":"Free algebra","level":5,"score":0.4250975251197815},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.31609046459198},{"id":"https://openalex.org/C100899422","wikidata":"https://www.wikidata.org/wiki/Q5058347","display_name":"Cellular algebra","level":4,"score":0.2778153419494629},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196715500381","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196715500381","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322174","display_name":"People's Government of Jilin Province","ror":"https://ror.org/02fzqav45"},{"id":"https://openalex.org/F4320322300","display_name":"Jilin University","ror":"https://ror.org/00js3aw79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1496027434","https://openalex.org/W1587815510","https://openalex.org/W1675890124","https://openalex.org/W1678068357","https://openalex.org/W1698075158","https://openalex.org/W1848063002","https://openalex.org/W1964944273","https://openalex.org/W1990767082","https://openalex.org/W2016694022","https://openalex.org/W2029802467","https://openalex.org/W2044808013","https://openalex.org/W2045440043","https://openalex.org/W2111725599","https://openalex.org/W2113345307","https://openalex.org/W2116318750","https://openalex.org/W2162635754","https://openalex.org/W2164000018","https://openalex.org/W2170837187","https://openalex.org/W2962867246","https://openalex.org/W2963756582","https://openalex.org/W2964202298","https://openalex.org/W3101642576","https://openalex.org/W4237279310"],"related_works":["https://openalex.org/W1698075158","https://openalex.org/W4311190503","https://openalex.org/W2162635754","https://openalex.org/W4288099353","https://openalex.org/W4378376968","https://openalex.org/W4228997342","https://openalex.org/W1648168017","https://openalex.org/W2010515519","https://openalex.org/W4295815838","https://openalex.org/W2069296875"],"abstract_inverted_index":{"We":[0],"suggest":[1],"a":[2,13,17,32],"new":[3],"method":[4],"for":[5],"describing":[6],"automorphisms":[7,26],"of":[8,12,19,27,31],"the":[9,28],"endomorphism":[10,29],"semigroup":[11,30],"free":[14,33],"algebra":[15,35],"in":[16],"variety":[18],"algebras.":[20],"As":[21],"an":[22,37],"application,":[23],"we":[24],"describe":[25],"Poisson":[34],"over":[36],"arbitrary":[38],"field":[39],"[Formula:":[40],"see":[41],"text].":[42]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}